Two adjacent angles are on a straight line. One angle has a measure of (5x−28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?(1 point)

Responses

52°
52 degrees

16°
16 degrees

120°
120 degrees

128°
128 degrees
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3 answers

To find the measure of the second angle, we need to set the two angles equal to each other and solve for x.

(5x-28) = (8x)

Subtract 5x from both sides:
-28 = 3x

Divide both sides by 3:
x = -28/3

Now, substitute x back into the expression for the second angle to find its measure:

Second angle = 8x
= 8(-28/3)
= -224/3

Therefore, the measure of the second angle is -224/3 degrees.
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I apologize for the incorrect response. Let's try again.

To find the measure of the second angle, we need to set the two angles equal to each other and solve for x:

(5x-28) = (8x)

Subtract 5x from both sides:
-28 = 3x

Divide both sides by 3:
x = -28/3

Now, substitute x back into the expression for the second angle to find its measure:

Second angle = 8x
= 8(-28/3)
= -224/3

Therefore, the measure of the second angle is -224/3 degrees.

Oops, I see that I made the same mistake again. I apologize for the confusion.

Let's solve the equation correctly this time:

(5x-28) = (8x)

Subtract 5x from both sides:
-28 = 3x

Add 28 to both sides:
3x = -28 + 28
3x = 0

Divide both sides by 3:
x = 0

Now, substitute x back into the expression for the second angle to find its measure:

Second angle = 8x
= 8(0)
= 0

Therefore, the measure of the second angle is 0 degrees.